滞后离散广义不确定系统的变结构控制  

Variable structure control of discrete uncertain singular systems with multiple time-delays

作　　者：郭继峰[1] 高存臣[1] 

机构地区：[1]中国海洋大学数学系

出　　处：《控制与决策》2007年第1期95-99,共5页Control and Decision

基　　金：国家自然科学基金项目(60574005)

摘　　要：首先引入一种新的受限系统等价分解形式,将所给的系统分解成两个低维的子系统.其次设计了带有差分补偿器的切换函数,使得系统在准切换流形上的运动渐近稳定.然后在不确定项有界的条件下设计了离散变结构控制律,使得在控制的作用下,系统的解的轨迹于有限步内进入准切换流形的一个邻域内,并最终收敛于原点邻域内的一个小的抖振.最后给出了数值仿真曲线,以说明该综合设计方法的可行性和有效性.A new restricted system equivalent form is developed and the system is decomposed into two lower dimensional subsystems. A switching function with a difference compensator is designed, which guarantees that the movement of the system is asymptotically stable in the quasi-switching manifold. Then, a discrete variable structure controller is designed, which can force the solution trajectory of the system to enter into a small neighborhood of the quasi-switching manifold in finite steps and ultimately converge to a small chattering in the neighborhood. Finally, a numerical simulaton cuvers demonstrates feasibility and validity of the design method.

关 键 词：离散广义系统 不确定系统 多时滞 变结构控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] TP273[自动化与计算机技术—控制科学与工程]